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A 30 foot board is cut into two pieces.how long is each piece if the second piece is 3 feet longer than twice the first piece
General
4 months ago
PLease help me in this algrebra 1 problem
General
4 months ago
Jillian is shopping for new school supplies. She finds a flyer in the newspaper forher favorite store. They are offering the following coupons. Jillian needs to buy anew laptop for the school year. The list price for the laptop is $479.99. Is it a betterdeal to use the coupon for the $100 rebate or the 20% off one item? Explain yourreasoning.
General
4 months ago
A multiple-choice examination has 15 questions, each with five possible answers, only one of which is correct. Suppose that one of the students who takes the examination answers each of the questions with an independent random guess. What is the probability that he answers at least ten questions correctly?
General
4 months ago
The length of time needed to complete a certain test is normally distributed with mean 60 minutes and standard deviation 10 minutes. (a) What is the relative frequency of people who take between 45 and 65 minutes to conlplete the test? Sketch a standard normal curve and shade the area in question.
General
4 months ago
On a production possibilities frontier, 500 pounds of apples and 1,200 pounds of bananas can be produced while at another point on the same frontier, 300 pounds of apples and 1,300 pounds of bananas can be produced. Between these points, what is the opportunity cost of producing one pound of apples? A. 2 pounds of bananas B. 100 pounds of bananas C. 2 pounds of apples D. 0.5 of a pound of bananas
General
4 months ago
A market researcher for a provider of music player accessories wants to know the proportion of customers who own cars to assess the market for a new car charger. A survey of 700 customers indicates that 76% own cars.a) What is the estimated standard deviation of the sampling distribution of the proportion?b) How large would the estimated standard deviation have been if he had surveyed only 175 customers (assuming the proportion is about the same)?
General
4 months ago
The probability that a car will have a flat tire while driving through a certain tunnel is 0.00005. Use the Poisson distribution to approximate the probability that among 14,000 cars passing through this tunnel, exactly two will have a flat tire.A.0.8783B.0.1947C. 0.1460D.0.1217
General
4 months ago
x + y + z = 126x - 2y - z = 163x + 4y + 2z = 28
General
4 months ago
a manufacturer claims that one of its new cars having a highway fuel efficiency average of 30 miles per gallon. A consumer interest group would like to test whether there is any statistical evidence that the manufacturer is over stating the MPG. A sample of 25 cars of this brand resulted in a sample mean highway mileage rating of 29.5 MPG and a standard deviation of 1.8 MPG. State the null and alternative hypothesis needed to conduct this test. What test statistic should be used and why? Should any assumption be made about the distribution of MPG? What conclusion can be drawn from the sample results? Test at 0.05 level of significance.
General
4 months ago
MANUFACTURING A manufacturer's total cost is C(q) = 0.1q ^ 3 - 0.5q ^ 2 + 500q + 200 dollars when q thousand units are produced . Currently , 4,000 units (q = 4) are being produced and the manufacturer is planning to increase the level of production to 4,100 . Use marginal analysis to estimate how this change will affect total cost .
General
4 months ago
Directions – Determine if the two lines are parallel, perpendicular, or intersecting (neither). If necessary, convert each equation to slope-intercept form (y = mx + b). L1: 4x+5y=15 L2: 4y=5x−12
General
4 months ago
Katies business professor lost his computer memory, which contained her five test scores for the course. A summary of the scores (each of which was an integer from 0 to 100) indicates the following: The mean was 88 The median was 87The mode was 92(The data set was not bimodal) What is the least possible number among the missing scores
General
4 months ago
Explain why standard deviation may not be an entirely appropriate measure of risk for purposes of this comparison. (Select the best answer below.) A. The standard deviation measure fails to take into account both the volatility and the return of the investment. Investors would prefer lower return but higher volatility, and the coefficient of variation provides a measure that takes into account both aspects of investors' preferences. B. The standard deviation measure fails to take into account both the risk-free rate and the return of the investment. Investors would prefer higher return but less volatility, and the coefficient of variation provides a measure that takes into account both aspects of investors' preferences. C. The standard deviation measure fails to take into account both the volatility and the return of the investment. Investors would prefer higher return but less volatility, and the coefficient of variation provides a measure that takes into account both aspects of investors' preferences. D. The standard deviation measure fails to take into account both the volatility and the risk-free rate. Investors would prefer higher return but less volatility, and the coefficient of variation provides a measure that takes into account both aspects of investors' preferences.
General
4 months ago
For a polygon to be convex means that all of its interior angles are less than 180 degrees. Prove that for all integers n ≥ 3, the angles of any n-sided convex polygon add up to 180(n−2) degrees. You may assume that the interior angles of a triangle add up to 180 degrees.
General
4 months ago
Mark and joe work as jewels.Mark has an hourly wage of 24$ and gets overtime for every hour he works over 40 hours the overtime pay rate is 150% of the norma rate. Joe makes a 5% commission on all jewery that he sales who earns more if make workes 60 hours and joe sells 21000 worth of jewery
General
4 months ago
A manufacturer wants to increase the shelf life of a line of cake mixes. Past records indicate that the average shelf life of the mix is 216 days. After a revised mix has been developed, a sample of nine boxes of cake mix gave these shelf lives (in days): 215, 217, 218, 219, 216, 217, 217, 218, and 218. Using α = 0.025, has the shelf life of the cake mix increased?a. Yes, because computed t is less than the critical value.b. Yes, because computed t is greater than the critical value.c. No, because computed t lies in the region of acceptance.d. No, because 217.24 is quite close to 216.
General
4 months ago
Many people think that a national lobby's successful fight against gun control legislation is reflecting the will of a minority of Americans. A previous random sample of 4000 citizens yielded 2250 who are in favor of gun control legislation. How many citizens would need to be sampled if a 99% confidence interval was desired to estimate the true proportion to within 5%? 611 690 653 664
General
4 months ago
Martha has widow's peak and attached earlobes. Martha's dad had a straight hairline and unattached earlobes. If Martha marries a man that is heterozygous for both traits, what is the probability that they will have a child with a widow's peak and attached earlobes?
General
4 months ago
Marketing companies have collected data implying that teenage girls use more ring tones on their cell phones than teenage boys do. In a random sample of 20 teenage girls, the mean number of ring tones was 3.2 with a standard deviation of 1.5. In a random sample of 20 teenage boys, the mean was 2.2 ring tones, with a standard deviation of 0.8. Conduct a hypothesis test to determine if the girls’ mean is higher than the boys’ mean.
General
4 months ago
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